A) Rs. 8000
B) Rs. 9140
C) Rs. 9144
D) Rs. 9414
Correct Answer: C
Solution :
| [c] Let A's share = Rs. x and B's share = Rs. \[(15494-x)\] According to the question, \[x{{\left( 1+\frac{20}{100} \right)}^{9}}=(15494-x)\,\,{{\left( 1+\frac{20}{100} \right)}^{11}}\] \[\Rightarrow \] \[x=(15494-x)\,\,{{\left( 1+\frac{20}{100} \right)}^{2}}\] \[\Rightarrow \] \[x=(15494-x)\,\,{{\left( 1+\frac{1}{5} \right)}^{2}}\] \[\Rightarrow \] \[x=(15494-x)\,\,\left( \frac{36}{25} \right)\] \[\Rightarrow \] \[25x=15494\times 36-36x\] \[\Rightarrow \] \[61x=15494\times 36\] \[\Rightarrow \] \[x=\frac{15494\times 36}{61}=\text{Rs}\text{.}\,9144\] |
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